Download PDF by David J. Aldous (auth.), Albert N. Shiryaev, S. R. S.: Prokhorov and Contemporary Probability Theory: In Honor of

By David J. Aldous (auth.), Albert N. Shiryaev, S. R. S. Varadhan, Ernst L. Presman (eds.)

ISBN-10: 3642335489

ISBN-13: 9783642335488

ISBN-10: 3642335497

ISBN-13: 9783642335495

The function of Yuri Vasilyevich Prokhorov as a trendy mathematician and best professional within the idea of likelihood is widely known. Even early in his occupation he acquired big effects at the validity of the powerful legislations of enormous numbers and at the estimates (bounds) of the charges of convergence, a few of that are the very best. His findings on restrict theorems in metric areas and especially practical restrict theorems are of remarkable value. Y.V. Prokhorov constructed an unique method of the evidence of sensible restrict theorems, in response to the susceptible convergence of finite dimensional distributions and the situation of tightness of chance measures.

The current quantity commemorates the 80th birthday of Yuri Vasilyevich Prokhorov. It comprises clinical contributions written by way of his colleagues, neighbors and scholars, who want to convey their deep recognize and sincerest admiration for him and his clinical work.​

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Probability Theory and Mathematical Statistics. Proceedings of the Seventh Japan-Russia Symposium, Tokyo, Japan, July 26–30, 1995. Ed. by S. Watanabe, M. V. N. Shiryaev. Singapore: World Scientific, 1996, xC514 pp. Probabilistic Methods in Discrete Mathematics. Proceedings of the 4th International Conference held in Petrozavodsk. F. Ya. L. V. Prokhorov. VSP, Utrecht, 1997, viC365 pp. Limit Theorems of Probability Theory. Papers from the International Conference held in Honor of Vytautas Statuleviˇcius on his 70th Birthday in Vilnius, August 1999.

2) has now been studied rigorously by Chatterjee and Durrett [4]. J. N. Shiryaev et al. J. Aldous 1 Introduction A topic which one might loosely call “random percolation of information through networks” arises in many different contexts, from epidemic models [2] and computer virus models [10] to gossip algorithms [8] designed to keep nodes of a decentralized network updated about information needed to maintain the network. This topic differs from communication networks in that we envisage information as having a definite source but no definite destination.

This topic differs from communication networks in that we envisage information as having a definite source but no definite destination. In this paper we study an aspect where the vertices of the network are agents, and where there are costs and benefits associated with the different choices that agents may make in communicating information. In such “economic game theory” settings one anticipates a social optimum strategy that maximizes the total net payoff to all agents combined, and an (often different) Nash equilibrium characterized by the property that no one agent can benefit from deviating from the Nash equilibrium strategy followed by all other agents (so one anticipates that any reasonable process of agents adjusting strategies in a selfish way will lead to some Nash equilibrium).

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Prokhorov and Contemporary Probability Theory: In Honor of Yuri V. Prokhorov by David J. Aldous (auth.), Albert N. Shiryaev, S. R. S. Varadhan, Ernst L. Presman (eds.)


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